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Finding the Fourth Proportional to 2,138.60, 2,951.78 and 1,613.80

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Solution

The fourth proportional to 2,138.60, 2,951.78 and 1,613.80 is: 2,227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.60 : 2,951.78 = 1,613.80 : x
  2. Step 2: Convert to fraction form
    2,138.60/2,951.78 = 1,613.80/x
  3. Step 3: Cross multiply
    2,138.60x = 2,951.78 × 1,613.80
  4. Step 4: Simplify right side
    2,138.60x = 4,763,582.56
  5. Step 5: Solve for x
    x = 4,763,582.56/2,138.60
  6. Step 6: Final answer
    x = 2,227.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.